February 2024 HARTMAN–WINTNER INEQUALITY FOR A CAPUTO FRACTIONAL BOUNDARY VALUE PROBLEM
Rui A. C. Ferreira
Rocky Mountain J. Math. 54(1): 137-141 (February 2024). DOI: 10.1216/rmj.2024.54.137

Abstract

We derive a Hartman–Wintner type inequality for a fractional boundary value problem depending on the Caputo derivative and with Dirichlet boundary conditions. We explicitly show how this inequality strengthens previously known results in the literature, in particular the Lyapunov inequality.

Citation

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Rui A. C. Ferreira. "HARTMAN–WINTNER INEQUALITY FOR A CAPUTO FRACTIONAL BOUNDARY VALUE PROBLEM." Rocky Mountain J. Math. 54 (1) 137 - 141, February 2024. https://doi.org/10.1216/rmj.2024.54.137

Information

Received: 31 August 2022; Accepted: 1 December 2022; Published: February 2024
First available in Project Euclid: 28 February 2024

MathSciNet: MR4718510
Digital Object Identifier: 10.1216/rmj.2024.54.137

Subjects:
Primary: 26A33 , 26D10

Keywords: Caputo’s derivative , Hartman–Wintner inequality , Lyapunov’s inequality

Rights: Copyright © 2024 Rocky Mountain Mathematics Consortium

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Vol.54 • No. 1 • February 2024
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